13527028480 has 144 divisors (see below), whose sum is σ = 37539319104. Its totient is φ = 4574085120.

The previous prime is 13527028447. The next prime is 13527028483. The reversal of 13527028480 is 8482072531.

It is a happy number.

It is a super-2 number, since 2×13527028480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13527028483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643740 + ... + 664420.

It is an arithmetic number, because the mean of its divisors is an integer number (260689716).

Almost surely, 2^13527028480 is an apocalyptic number.

13527028480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13527028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18769659552).

13527028480 is an abundant number, since it is smaller than the sum of its proper divisors (24012290624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13527028480 is an equidigital number, since it uses as much as digits as its factorization.

13527028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20782 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 13527028480 in words is "thirteen billion, five hundred twenty-seven million, twenty-eight thousand, four hundred eighty".